On the Quantization of the GS Type IIB Superstring Action on AdS3 X S3 with NSNS flux

TL;DR

This paper quantizes the type IIB Green-Schwarz superstring on AdS3 x S3 with NSNS flux, demonstrating its equivalence to Liouville theory with periodic boundary conditions and free fermions, advancing understanding of string dynamics in this background.

Contribution

It provides a novel quantization of the superstring in AdS3 x S3 with NSNS flux, establishing a connection to Liouville theory and free fermions.

Findings

Superstring quantization on AdS3 x S3 with NSNS flux achieved.

Equivalence to Liouville theory with periodic boundary conditions demonstrated.

Identification of free spacetime fermions in the model.

Abstract

We quantize the type IIB GS string action on AdS3 X S3 with pure NSNS background and we show that it is equivalent to Liouville with periodic boundary condition plus free spacetime fermions.